Tivadar Danka: Christoffel functions for locally Jacobi-like weights on the real line |
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Szerda, 1. Október 2014, 10:00 - 12:00
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| Abstract. his is a joint work with Vilmos Totik. In this talk, we establish asymptotic results for Christoffel functions for measures with weight functions behaving like Jacobi weights. Given a measure \mu with compact support K, assume that x_0 is a point in its support and the weight function of \mu in some neighbourhood of x_0 equals to w(x) |x-x_0|^a , where a > -1 and w(x) is continuous and strictly positive. Previously, the asymptotic behavior was known only for a few special cases, for example K =[-1,1] and d\mu(x) = |x-1|^a, x_0 = 1. Using the method of polynomial inverse images, these results can be extended for measures with compact support. During the talk, we shall state the main result, examine a few model cases and discuss the most important ideas of extending them for more general measures. |
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Hely : Bolyai Intézet, Bolyai terem |
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